508379664 has 160 divisors (see below), whose sum is σ = 1497904128. Its totient is φ = 147456000.

The previous prime is 508379647. The next prime is 508379681. The reversal of 508379664 is 466973805.

It is an interprime number because it is at equal distance from previous prime (508379647) and next prime (508379681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792784 + ... + 793424.

Almost surely, 2^508379664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748952064).

508379664 is an abundant number, since it is smaller than the sum of its proper divisors (989524464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508379664 is a wasteful number, since it uses less digits than its factorization.

508379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 508379664 is about 22547.2761991332. The cubic root of 508379664 is about 798.1099464720.

The spelling of 508379664 in words is "five hundred eight million, three hundred seventy-nine thousand, six hundred sixty-four".